# Licensed to the Apache Software Foundation (ASF) under one or more
# contributor license agreements.  See the NOTICE file distributed with
# this work for additional information regarding copyright ownership.
# The ASF licenses this file to You under the Apache License, Version 2.0
# (the "License"); you may not use this file except in compliance with
# the License.  You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.

# P-values for the one-sample Kolmogorov-Smirnov distribution:
# D_n = sup_x |F(x) - CDF_n(x)|
# Data was computed by SciPy:
# import numpy as np
# from scipy.stats import kstwo, ksone
# with open("ks.onesample.small.txt", "w") as f:
#   n = 64
#   for x in np.linspace(0, 1, n * 2):
#     print(x, n, kstwo.sf(x, n), ksone.sf(x, n), file=f)
#   n = 140
#   for x in np.linspace(0, 1, 140 * 2):
#     print(x, n, kstwo.sf(x, n), ksone.sf(x, n), file=f)
0.0 64 1.0 1.0
0.007874015748031496 64 1.0 0.9870940509391777
0.015748031496062992 64 1.0 0.9579801878968693
0.023622047244094488 64 0.9999999999978103 0.9169820753714802
0.031496062992125984 64 0.999999626977445 0.8627365975036552
0.03937007874015748 64 0.9998907550331919 0.7993425099947686
0.047244094488188976 64 0.9975537576521818 0.7288486730468599
0.05511811023622047 64 0.9841466029412425 0.6541011346194114
0.06299212598425197 64 0.9474113684661051 0.5777891646255985
0.07086614173228346 64 0.8821318600153835 0.5023147735540503
0.07874015748031496 64 0.793080921707936 0.42980270918087987
0.08661417322834646 64 0.6903321475122977 0.3619363708031364
0.09448818897637795 64 0.5841467449129659 0.29995352402912084
0.10236220472440945 64 0.48235768314732075 0.2446364036167608
0.11023622047244094 64 0.3898537148321017 0.1963443562016583
0.11811023622047244 64 0.3090558716725754 0.15507087762617322
0.12598425196850394 64 0.24064056237667308 0.12051448086131625
0.13385826771653542 64 0.1841837654748848 0.09215670254547437
0.14173228346456693 64 0.13863637163059095 0.06933835914923502
0.14960629921259844 64 0.10264518102259057 0.0513284392969243
0.15748031496062992 64 0.07476006963743642 0.037381612952412165
0.1653543307086614 64 0.05356404008283733 0.02678241590652688
0.1732283464566929 64 0.03775165193055141 0.01887591817414712
0.18110236220472442 64 0.02617193688362207 0.013085988361170163
0.1889763779527559 64 0.017846248540773324 0.008923128255725141
0.19685039370078738 64 0.011968519679683598 0.005984260577242912
0.2047244094488189 64 0.00789379224753639 0.003946896249747304
0.2125984251968504 64 0.005119768682242509 0.002559884360960034
0.2204724409448819 64 0.0032651294388263974 0.0016325647222876468
0.22834645669291337 64 0.002047388607025691 0.0010236943038950995
0.23622047244094488 64 0.001262155097332296 0.0006310775487130875
0.2440944881889764 64 0.0007648896506207148 0.0003824448253150727
0.25196850393700787 64 0.0004556357271158281 0.00022781786355791404
0.25984251968503935 64 0.0002667639884506848 0.0001333819942253424
0.26771653543307083 64 0.0001534909428856656 7.67454714428328e-05
0.2755905511811024 64 8.678370744177056e-05 4.339185372088528e-05
0.28346456692913385 64 4.821091240821887e-05 2.4105456204109436e-05
0.29133858267716534 64 2.631200817065968e-05 1.315600408532984e-05
0.2992125984251969 64 1.4106258201577781e-05 7.0531291007888905e-06
0.30708661417322836 64 7.427871532909758e-06 3.713935766454879e-06
0.31496062992125984 64 3.841094160791995e-06 1.9205470803959974e-06
0.3228346456692913 64 1.9504037000660307e-06 9.752018500330154e-07
0.3307086614173228 64 9.723253956701793e-07 4.861626978350897e-07
0.33858267716535434 64 4.7583061209911846e-07 2.3791530604955923e-07
0.3464566929133858 64 2.2854948325779765e-07 1.1427474162889882e-07
0.3543307086614173 64 1.0772735927945128e-07 5.386367963972564e-08
0.36220472440944884 64 4.9821600742693363e-08 2.4910800371346682e-08
0.3700787401574803 64 2.2603739944052777e-08 1.1301869972026389e-08
0.3779527559055118 64 1.0058562474367667e-08 5.029281237183833e-09
0.3858267716535433 64 4.389382019716466e-09 2.194691009858233e-09
0.39370078740157477 64 1.8780114443553243e-09 9.390057221776622e-10
0.4015748031496063 64 7.87648705653922e-10 3.93824352826961e-10
0.4094488188976378 64 3.237537675744589e-10 1.6187688378722945e-10
0.41732283464566927 64 1.3039162851538637e-10 6.519581425769318e-11
0.4251968503937008 64 5.144437545249027e-11 2.5722187726245134e-11
0.4330708661417323 64 1.987814862432751e-11 9.939074312163754e-12
0.4409448818897638 64 7.52066024976509e-12 3.760330124882545e-12
0.44881889763779526 64 2.7852588679231847e-12 1.3926294339615923e-12
0.45669291338582674 64 1.0094561064985831e-12 5.047280532492916e-13
0.4645669291338583 64 3.579309156847665e-13 1.7896545784238326e-13
0.47244094488188976 64 1.2412896260818303e-13 6.206448130409151e-14
0.48031496062992124 64 4.208969244547352e-14 2.104484622273676e-14
0.4881889763779528 64 1.3949789785186591e-14 6.974894892593296e-15
0.49606299212598426 64 4.517551213734115e-15 2.2587756068670574e-15
0.5039370078740157 64 1.4289910909803965e-15 7.144955454901983e-16
0.5118110236220472 64 4.413542842817313e-16 2.2067714214086564e-16
0.5196850393700787 64 1.3304831021081642e-16 6.652415510540821e-17
0.5275590551181102 64 3.913094358602685e-17 1.9565471793013426e-17
0.5354330708661417 64 1.1223708904809358e-17 5.611854452404679e-18
0.5433070866141733 64 3.1380843904585514e-18 1.5690421952292757e-18
0.5511811023622047 64 8.548743052068955e-19 4.2743715260344776e-19
0.5590551181102362 64 2.2679640190997507e-19 1.1339820095498754e-19
0.5669291338582677 64 5.856551354900106e-20 2.928275677450053e-20
0.5748031496062992 64 1.4712392476014303e-20 7.356196238007152e-21
0.5826771653543307 64 3.593444637210974e-21 1.796722318605487e-21
0.5905511811023622 64 8.528287026271127e-22 4.264143513135563e-22
0.5984251968503937 64 1.9654308651127293e-22 9.827154325563647e-23
0.6062992125984252 64 4.395462721681502e-23 2.197731360840751e-23
0.6141732283464567 64 9.532142974617084e-24 4.766071487308542e-24
0.6220472440944882 64 2.0030181322146423e-24 1.0015090661073212e-24
0.6299212598425197 64 4.075080890868607e-25 2.0375404454343035e-25
0.6377952755905512 64 8.019933392103828e-26 4.009966696051914e-26
0.6456692913385826 64 1.525422223246631e-26 7.627111116233155e-27
0.6535433070866141 64 2.8013598037786058e-27 1.4006799018893029e-27
0.6614173228346456 64 4.961951079041881e-28 2.4809755395209407e-28
0.6692913385826772 64 8.467469114356162e-29 4.233734557178081e-29
0.6771653543307087 64 1.390430571765076e-29 6.95215285882538e-30
0.6850393700787402 64 2.1942034356973666e-30 1.0971017178486833e-30
0.6929133858267716 64 3.322995205436012e-31 1.661497602718006e-31
0.7007874015748031 64 4.822276450268149e-32 2.4111382251340746e-32
0.7086614173228346 64 6.69473794628786e-33 3.34736897314393e-33
0.7165354330708661 64 8.875691230659556e-34 4.437845615329778e-34
0.7244094488188977 64 1.1215449677166976e-34 5.607724838583488e-35
0.7322834645669292 64 1.3478995756091142e-35 6.739497878045571e-36
0.7401574803149606 64 1.537149694038648e-36 7.68574847019324e-37
0.7480314960629921 64 1.6591377135977802e-37 8.295688567988901e-38
0.7559055118110236 64 1.6901673745038583e-38 8.450836872519291e-39
0.7637795275590551 64 1.6199329334668864e-39 8.099664667334432e-40
0.7716535433070866 64 1.4556859927560529e-40 7.278429963780264e-41
0.7795275590551181 64 1.2216405130133722e-41 6.108202565066861e-42
0.7874015748031495 64 9.532632346382386e-43 4.766316173191193e-43
0.7952755905511811 64 6.881973230426518e-44 3.440986615213259e-44
0.8031496062992126 64 4.570689574793629e-45 2.2853447873968145e-45
0.8110236220472441 64 2.7745903519254434e-46 1.3872951759627217e-46
0.8188976377952756 64 1.5279615884990035e-47 7.639807942495018e-48
0.8267716535433071 64 7.567390910091067e-49 3.7836954550455336e-49
0.8346456692913385 64 3.336436163674288e-50 1.668218081837144e-50
0.84251968503937 64 1.293946894074812e-51 6.46973447037406e-52
0.8503937007874016 64 4.351765735524238e-53 2.175882867762119e-53
0.8582677165354331 64 1.2477769141281714e-54 6.238884570640857e-55
0.8661417322834646 64 2.9883454394991436e-56 1.4941727197495718e-56
0.8740157480314961 64 5.8314164173618605e-58 2.9157082086809302e-58
0.8818897637795275 64 8.996457311871712e-60 4.498228655935856e-60
0.889763779527559 64 1.057679558699951e-61 5.288397793499755e-62
0.8976377952755905 64 9.059020449043702e-64 4.529510224521851e-64
0.905511811023622 64 5.348116433188673e-66 2.674058216594336e-66
0.9133858267716535 64 2.03132492044355e-68 1.015662460221775e-68
0.9212598425196851 64 4.548626754717662e-71 2.274313377358831e-71
0.9291338582677166 64 5.360042567151389e-74 2.6800212835756946e-74
0.937007874015748 64 2.853366610484498e-77 1.426683305242249e-77
0.9448818897637795 64 5.544556026280772e-81 2.772278013140386e-81
0.952755905511811 64 2.879200339207927e-85 1.4396001696039636e-85
0.9606299212598425 64 2.464178318267738e-90 1.232089159133869e-90
0.968503937007874 64 1.546789799754763e-96 7.733948998773815e-97
0.9763779527559056 64 1.5608176106416445e-104 7.804088053208222e-105
0.984251968503937 64 8.385164306360768e-116 4.192582153180384e-116
0.9921259842519685 64 4.545606678802126e-135 2.272803339401063e-135
1.0 64 0.0 0.0
0.0 140 1.0 1.0
0.0035842293906810036 140 1.0 0.9941064374352611
0.007168458781362007 140 1.0 0.9806785004501267
0.010752688172043012 140 1.0 0.9613839757004516
0.014336917562724014 140 0.9999999999999993 0.9351284254247336
0.017921146953405017 140 0.9999999997614624 0.9032845912083942
0.021505376344086023 140 0.999999720864844 0.8662128789411858
0.025089605734767026 140 0.9999794395568652 0.8247136280412438
0.02867383512544803 140 0.9996619454354924 0.7795874040669705
0.03225806451612903 140 0.9977002614900177 0.7316439114204344
0.035842293906810034 140 0.9909993893399822 0.6817299904668596
0.03942652329749104 140 0.9755078328585148 0.6306661573725829
0.043010752688172046 140 0.9480143979981394 0.5792426388481426
0.04659498207885305 140 0.9074064274361368 0.5281948112796683
0.05017921146953405 140 0.8547663856718257 0.4781882444759265
0.053763440860215055 140 0.7926953457465684 0.4298069213743143
0.05734767025089606 140 0.7244561836354424 0.38354475806460153
0.06093189964157706 140 0.6532922464574805 0.33980139074047816
0.06451612903225806 140 0.5820198160732842 0.29888141134686746
0.06810035842293907 140 0.5128553228913343 0.26099693108104133
0.07168458781362007 140 0.44739783098532065 0.22627293946211074
0.07526881720430108 140 0.38669497337006753 0.19475491568093756
0.07885304659498207 140 0.3313422521228226 0.1664181108249293
0.08243727598566308 140 0.2815861697645333 0.1411779084592284
0.08602150537634409 140 0.2374165693673977 0.11890070532007577
0.08960573476702509 140 0.19864285633994425 0.09941480654771982
0.0931899641577061 140 0.16495385783893582 0.08252090371193146
0.0967741935483871 140 0.13596338866796986 0.06800178886215998
0.1003584229390681 140 0.11124427784762206 0.05563104771699069
0.1039426523297491 140 0.09035346473988022 0.04518056392234788
0.10752688172043011 140 0.07285030107004582 0.03642674895445931
0.1111111111111111 140 0.05830967659388642 0.029155485007004982
0.11469534050179211 140 0.046331149710027594 0.023165828584943014
0.11827956989247312 140 0.03654494554384025 0.018272569291360546
0.12186379928315412 140 0.028615471405703644 0.014307771296635477
0.12544802867383512 140 0.022242864522950805 0.01112144498426272
0.12903225806451613 140 0.01716300061774935 0.008581504716135781
0.13261648745519714 140 0.013146331912260313 0.006573167435454139
0.13620071684587814 140 0.009995875103551427 0.004997938032824494
0.13978494623655913 140 0.007544626046249857 0.0037723131746402547
0.14336917562724014 140 0.005652635191267975 0.0028263176418480153
0.14695340501792115 140 0.004203935823717784 0.002101967925506399
0.15053763440860216 140 0.003103476677667316 0.001551738342732129
0.15412186379928317 140 0.0022741728139943134 0.0011370864080766725
0.15770609318996415 140 0.0016541548474669028 0.0008270774240207964
0.16129032258064516 140 0.0011942674732572781 0.000597133736702066
0.16487455197132617 140 0.0008558441435730817 0.0004279220718027804
0.16845878136200718 140 0.0006087656811366477 0.00030438284057349537
0.17204301075268819 140 0.00042979629626168964 0.00021489814813084482
0.17562724014336917 140 0.0003011803975034687 0.00015059019875173434
0.17921146953405018 140 0.00020947713436266977 0.00010473856718133488
0.1827956989247312 140 0.0001446061159191618 7.23030579595809e-05
0.1863799283154122 140 9.907655627875099e-05 4.9538278139375497e-05
0.18996415770609318 140 6.73725988079715e-05 3.368629940398575e-05
0.1935483870967742 140 4.546923668879808e-05 2.273461834439904e-05
0.1971326164874552 140 3.0455635297871353e-05 1.5227817648935676e-05
0.2007168458781362 140 2.0245421622521283e-05 1.0122710811260641e-05
0.20430107526881722 140 1.3356372819142983e-05 6.6781864095714914e-06
0.2078853046594982 140 8.74472228916461e-06 4.372361144582305e-06
0.2114695340501792 140 5.681884231275912e-06 2.840942115637956e-06
0.21505376344086022 140 3.6637054354345966e-06 1.8318527177172983e-06
0.21863799283154123 140 2.3443546656282817e-06 1.1721773328141409e-06
0.2222222222222222 140 1.488652439429327e-06 7.443262197146636e-07
0.22580645161290322 140 9.380436035575375e-07 4.6902180177876873e-07
0.22939068100358423 140 5.865496471209228e-07 2.932748235604614e-07
0.23297491039426524 140 3.6394079036682225e-07 1.8197039518341113e-07
0.23655913978494625 140 2.2407473953157803e-07 1.1203736976578902e-07
0.24014336917562723 140 1.3689359232924534e-07 6.844679616462267e-08
0.24372759856630824 140 8.298375313241866e-08 4.149187656620933e-08
0.24731182795698925 140 4.991306858051799e-08 2.4956534290258994e-08
0.25089605734767023 140 2.9787774434988472e-08 1.4893887217494236e-08
0.25448028673835127 140 1.7638254460328404e-08 8.819127230164202e-09
0.25806451612903225 140 1.036234175141068e-08 5.18117087570534e-09
0.2616487455197133 140 6.039984203752153e-09 3.0199921018760765e-09
0.26523297491039427 140 3.4928499075774636e-09 1.7464249537887318e-09
0.26881720430107525 140 2.003921658406712e-09 1.001960829203356e-09
0.2724014336917563 140 1.1405872972058795e-09 5.702936486029397e-10
0.27598566308243727 140 6.440408192234266e-10 3.220204096117133e-10
0.27956989247311825 140 3.60765696861251e-10 1.803828484306255e-10
0.2831541218637993 140 2.004720235255006e-10 1.002360117627503e-10
0.2867383512544803 140 1.1050667941709174e-10 5.525333970854587e-11
0.2903225806451613 140 6.042530151952061e-11 3.0212650759760303e-11
0.2939068100358423 140 3.277432756910984e-11 1.638716378455492e-11
0.2974910394265233 140 1.7632843062015638e-11 8.816421531007819e-12
0.3010752688172043 140 9.40964410661764e-12 4.70482205330882e-12
0.3046594982078853 140 4.980521994947354e-12 2.490260997473677e-12
0.30824372759856633 140 2.6146624417467383e-12 1.3073312208733691e-12
0.3118279569892473 140 1.3613931853388908e-12 6.806965926694454e-13
0.3154121863799283 140 7.030181703130041e-13 3.5150908515650207e-13
0.31899641577060933 140 3.6004119463501175e-13 1.8002059731750587e-13
0.3225806451612903 140 1.8286387127898913e-13 9.143193563949457e-14
0.32616487455197135 140 9.210450458309501e-14 4.6052252291547505e-14
0.32974910394265233 140 4.600425654018428e-14 2.300212827009214e-14
0.3333333333333333 140 2.2785892624882593e-14 1.1392946312441296e-14
0.33691756272401435 140 1.119106496630187e-14 5.595532483150935e-15
0.34050179211469533 140 5.4500481163507506e-15 2.7250240581753753e-15
0.34408602150537637 140 2.6317144308866685e-15 1.3158572154433343e-15
0.34767025089605735 140 1.2600053615526834e-15 6.300026807763417e-16
0.35125448028673834 140 5.981177196798966e-16 2.990588598399483e-16
0.3548387096774194 140 2.814924570833008e-16 1.407462285416504e-16
0.35842293906810035 140 1.3134016993811302e-16 6.567008496905651e-17
0.36200716845878134 140 6.075244072645755e-17 3.0376220363228776e-17
0.3655913978494624 140 2.7857977016637614e-17 1.3928988508318807e-17
0.36917562724014336 140 1.266307466536253e-17 6.331537332681265e-18
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